205038540 has 336 divisors, whose sum is σ = 771220800. Its totient is φ = 45722880.

The previous prime is 205038527. The next prime is 205038541. The reversal of 205038540 is 45830502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205038541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5000920 + ... + 5000960.

It is an arithmetic number, because the mean of its divisors is an integer number (2295300).

Almost surely, 2^205038540 is an apocalyptic number.

205038540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205038540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385610400).

205038540 is an abundant number, since it is smaller than the sum of its proper divisors (566182260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205038540 is an equidigital number, since it uses as much as digits as its factorization.

205038540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205038540 is about 14319.1668752061. The cubic root of 205038540 is about 589.6738022579.

The spelling of 205038540 in words is "two hundred five million, thirty-eight thousand, five hundred forty".